Holomorphic L2 functions on coverings of pseudo-convex coverings (with G. Henkin and M. Shubin), GAFA 8 (1998), 552-585.

# Category Archives: Elliptic operators on open manifolds and infinite covering spaces

The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets, (with M. Shubin) Inventiones Math. 117 (1994), 165-180

The Riemann-Roch theorem for elliptic operators (with M. Shubin) I. M. Gelfand Seminar. Part 1: Papers of the Gelfand seminar in funct. anal. Moscow Univ., Russia, September 1993. Gelfand, S. ed. et al., translated from Adv. Sov. Math. 16 (1993), 211-241 Amer. Math. Soc., Providence.

Erratum to: ”Von Neumann spectra near zero” (with M. Shubin) Geom. Anal. Funct. Anal. 5 (1995), 729.

L2 holomorphic functions on pseudo-convex coverings. in Operator theory for complex and hypercomplex analysis. (with G. Henkin, M. Shubin) Ramirez de Arellano ed. Proc. conf., Mexico City, Mexico, December 12–17, 1994 Amer. Math. Soc. Contemp. Math. 212 (1998), 81-94

Topological invariants of dynamical systems and spaces of harmonic maps, Math. Phys. Anal. and Geom. 00 : 1-93 (1999)

## Bounds on the Von Neumann dimension of L2-cohomology and the Gauss-Bonnet theorem for open manifolds

Bounds on the Von Neumann dimension of L2-cohomology and the Gauss-Bonnet theorem for open manifolds, (with J. Cheeger) J. Differential Geom. 21 (1985), 1-34.

On the characteristic numbers of complete manifolds of bounded curvature and finite volume, (with J. Cheeger) Rauch Memorial Volume, Springer-Verlag (1985), 115-154.

L2-cohomology and group cohomology, (with J. Cheeger), Topology 25 (1986), 189-215.

Sur le groupe fondamental d’une variété kählérienne, C.R. Acad. Sci. Paris 3 (1989), 67-70.

Kähler hyperbolicity and L2-Hodge theory, J. Differential Geom. 33 (1991), 263-292.

Von Neumann spectra near zero, (with M. Shubin) Geom. Anal. Functional Anal. 1 (1991), 375-404.

Near cohomology of Hilbert complexes, (with M. Shubin) preprint ETH 1991.

The Riemann-Roch theorem for general elliptic operators, (with M. Shubin) C R Acad. Sci. Paris 314 (1992), 363-367.

Conjecture de Novikov et fibrés presque plats, (with A. Connes and H. Moscovici), C.R. Acad. Sci. Paris 310 (1990), 273- 277

Geometric reflections on the Novikov conjecture, Lecture notes taken by J. Rosenberg, Oberwolfach (1993) à paraître dans Proc. Conference on the Novikov Conjecture

Group cohomology with Lipschitz control and higher signatures (with A. Connes, H. Moscovici) Geom. Anal. Funct. Anal. 3 (1993), 1-78.

Positive curvature, macroscopic dimension, spectral gaps and higher signatures. in Functional analysis on the eve of the 21st century, Gindikin, Simon (ed.) et al Volume II. In honor of the eightieth birthday of I. M. Gelfand. Proc. conf. Rutgers Univ., New Brunswick, NJ, USA, October 24-27, 1993. Prog. Math. 132 (1996), 1-213, Birkhäuser, Basel

Finite propagation speed, kernel estimates, and the geometry of complete Riemannian manifolds, (with J. Cheeger, M. Taylor) J. Differential Geom. 17 (1982), 15-53.

Positive scalar curvature and the Dirac operator on complete Riemannian manifolds, (with H. B. Lawson Jr.) Publ. Math. IHÉS 58 (1983), 295-408.